Oscillating mushrooms: adiabatic theory for a non-ergodic system
نویسندگان
چکیده
Can elliptic islands contribute to sustained energy growth as parameters of a Hamiltonian system slowly vary with time? In this paper we show that a mushroom billiard with a periodically oscillating boundary accelerates the particle inside it exponentially fast. We provide an estimate for the rate of acceleration. Our numerical experiments corroborate the theory. We suggest that a similar mechanism applies to general systems with mixed phase space.
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تاریخ انتشار 2013